Square

The side of a square is $40 \mathrm{cm}$. If its sides increased by $25\%$, what will be a percent increase in its area?

A wire is bent to form a square of area \(169 \mathrm{~cm}^{2}\). If the same wire is bent to form a circle, then what is its area (in \(\mathrm{cm}^{2}\), to the nearest whole number)?
Take \(\pi=\frac{22}{7}\)

A rectangle with perimeter $50 \mathrm{cm}$ has its sides in the ratio $1:4$. What is the perimeter of square whose area is same as that of the rectangle?

A square park has been divided into two rectangles of equal area. If the perimeter of each of these rectangles is $39 \mathrm{m}$, then what will be the perimeter of the square park?

The diagonal of a square $\mathrm{A}$ is $(\mathrm{a}+\mathrm{b})$ units. What is the area (in square units) of the square drawn on the diagonal of square $\mathrm{B}$ whose area is twice the area of $\mathrm{A}$?

ABCD is a square, then find $\angle ABD$.

Find area of a square one of whose diagonal is $5.4$ m long

If the ratio of the areas of two squares is $9:1$, then the ratio of their perimeters is

Rahul walked diagonally across a square plot. Approximately what was the per cent distance saved by not walking along the edges?

There is a large terrace of size $42ft \times 48ft$. The floor of the terrace is to be paved with square tiles of the same dimension. Find out the minimum number of tiles required?

What will be the cost of building a fence around a square plot with area equal to $625 sq ft$, if the price per foot of building the fence is $Rs.62$?

The area of a square field is $24200 {\mathrm{m}}^2$. How much distance cover by a lady to cross the square field diagonally?

In the given figure, the difference (in lengths) between the diagonal of the square and diameter of the circle is:

The area of a square field is $24200 sq m$. How long will a lady take to cross the field diagonally at the rate of $6.6 km/h?$

A square lawn has a path $4 m$ wide around it. If the area of the path is $196 m^2$, then each side of the lawn is:

The area of a square is equal to the area of a circle. What is the ratio between the side of the square and the radius of the circle?

The perimeter of a square $S_1$ is $12 \mathrm{m}$ more than the perimeter of the square $S_2$ . If the area of $S_1$ equals three times the area of $S_2$ minus $11$, then what is the perimeter of $S_1$?

$4726$ soldiers were divided in two groups for arranging each group in solid square. It was found that there were some excess soldiers in the second group. Number of rows in the first group was $32$. So the minimum number of soldiers in excess in the second group is _________.

The area of a square park is $25 sq km$. The time taken to complete a round the park once, at a speed of $3 km/h$ is:

The side of a square is decreased by 10%. What is the percent of change in area?